Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8124/65,4081/476
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 8124,4081
Greatest Common Factor of Numerators i.e. GCF of 8124,4081 is 1 .
LCM of Denominators means LCM of 65,476 as per the given fractions.
LCM of 65,476 is 30940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8124,4081
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8124
List of positive integer factors of 8124 that divides 8124 without a remainder.
1,2,3,4,6,12,677,1354,2031,2708,4062,8124
Factors of 4081
List of positive integer factors of 4081 that divides 4081 without a remainder.
1,7,11,53,77,371,583,4081
Greatest Common Factor
We found the factors 8124,4081 . The biggest common factor number is the GCF number.
So the greatest common factor 8124,4081 is 1.
Lets's calculate LCM of 65,476
Given numbers has no common factors except 1. So, there LCM is their product i.e 30940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30940
Therefore, the GCF of Fractions 8124/65,4081/476 is 1/30940
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 65,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,476) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,476) x common factors =1 x 1 = 1
LCM(65,476) = ( 65 × 476 ) / 1
LCM(65,476) = 30940 / 1
LCM(65,476) = 30940
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 8124/65, 4081/476?
Answer: GCF of Numerators as per given numbers 8124/65, 4081/476 is
GCF of Numerators i.e. for 8124,4081 is 1
LCM of denominators i.e. for 65,476 is 30940.
Thus, GCF of Fractions is 1/30940.Finally, GCF of Fractions for 8124/65, 4081/476 is 1/30940.